Search a number
-
+
22808845664 = 2511607106751
BaseRepresentation
bin10101001111100000…
…110101110101100000
32011212120212102010122
4111033200311311200
5333203031030124
614251144415412
71435136663213
oct251740656540
964776772118
1022808845664
119744aa9380
124506777568
1321c65b11a7
14116536d77a
158d765175e
hex54f835d60

22808845664 has 48 divisors (see below), whose sum is σ = 49068343296. Its totient is φ = 10350480000.

The previous prime is 22808845613. The next prime is 22808845681. The reversal of 22808845664 is 46654880822.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160289 + ... + 267039.

It is an arithmetic number, because the mean of its divisors is an integer number (1022257152).

Almost surely, 222808845664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22808845664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24534171648).

22808845664 is an abundant number, since it is smaller than the sum of its proper divisors (26259497632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22808845664 is a wasteful number, since it uses less digits than its factorization.

22808845664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107379 (or 107371 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 53.

The spelling of 22808845664 in words is "twenty-two billion, eight hundred eight million, eight hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 607 1214 2428 4856 6677 9712 13354 19424 26708 53416 106751 106832 213502 213664 427004 854008 1174261 1708016 2348522 3416032 4697044 9394088 18788176 37576352 64797857 129595714 259191428 518382856 712776427 1036765712 1425552854 2073531424 2851105708 5702211416 11404422832 22808845664